question_answer

If the angles of a triangle are in the ratio 2:3:4, find the value of each angle.

Answer:

Let the angles be 2x, 3x and 4x 2x + 3x + \[4x=180{}^\circ \]         [Angle sum property] \[9x=180{}^\circ \] \[x=\frac{180{}^\circ }{9}\] \[x=20{}^\circ \]                 \[\therefore \]Angles are \[2x\text{ }=\text{ }2\text{ }x\text{ }20{}^\circ \text{ }=\text{ }40{}^\circ \] \[3x\text{ }=\text{ }3\text{ }x\text{ }20{}^\circ \text{ }=\text{ }60{}^\circ \] \[4x\text{ }=\text{ }4\text{ }x\text{ }20{}^\circ \text{ }=\text{ }80{}^\circ \]